Diagonalization in Formal Mathematics. 1st ed. 2020

種類:

電子ブック

責任表示:

by Paulo Guilherme Santos

出版情報:

Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2020

著者名:

• Santos, Paulo Guilherme.
• SpringerLink (Online service)

シリーズ名:

BestMasters ;

ISBN:

9783658291112 [3658291117]    

注記:

Diagonalization in Mathematics -- Diagonalization Lemma -- Fixed Point Theorems -- Paradoxes: Liar, Yablo’s Paradox, Curry’s Paradox.
In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo’s paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics. Contents Diagonalization in Mathematics Diagonalization Lemma Fixed Point Theorems Paradoxes: Liar, Yablo’s Paradox, Curry’s Paradox Target Groups Researchers and students in the fields of mathematics and philosophy The Author Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.

ローカル注記:

学内専用E-BOOKS (local access only)